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14307716720 = 24511233112273
BaseRepresentation
bin11010101001100111…
…00110111001110000
31100221010111022120002
431110303212321300
5213300233413340
610323424005132
71014362404553
oct152463467160
940833438502
1014307716720
116082373380
1229337607a8
1314702ac18b
1499a2d869a
1558b168715
hex354ce6e70

14307716720 has 160 divisors (see below), whose sum is σ = 38005853184. Its totient is φ = 4958412800.

The previous prime is 14307716663. The next prime is 14307716729. The reversal of 14307716720 is 2761770341.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14307716729) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6293504 + ... + 6295776.

Almost surely, 214307716720 is an apocalyptic number.

14307716720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14307716720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19002926592).

14307716720 is an abundant number, since it is smaller than the sum of its proper divisors (23698136464).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

14307716720 is a wasteful number, since it uses less digits than its factorization.

14307716720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2631 (or 2625 counting only the distinct ones).

The product of its (nonzero) digits is 49392, while the sum is 38.

The spelling of 14307716720 in words is "fourteen billion, three hundred seven million, seven hundred sixteen thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 23 40 44 46 55 80 88 92 110 115 176 184 220 230 253 311 368 440 460 506 622 880 920 1012 1244 1265 1555 1840 2024 2273 2488 2530 3110 3421 4048 4546 4976 5060 6220 6842 7153 9092 10120 11365 12440 13684 14306 17105 18184 20240 22730 24880 25003 27368 28612 34210 35765 36368 45460 50006 52279 54736 57224 68420 71530 78683 90920 100012 104558 114448 125015 136840 143060 157366 181840 200024 209116 250030 261395 273680 286120 314732 393415 400048 418232 500060 522790 572240 575069 629464 706903 786830 836464 1000120 1045580 1150138 1258928 1413806 1573660 2000240 2091160 2300276 2827612 2875345 3147320 3534515 4182320 4600552 5655224 5750690 6294640 7069030 7775933 9201104 11310448 11501380 14138060 15551866 16258769 23002760 28276120 31103732 32517538 38879665 46005520 56552240 62207464 65035076 77759330 81293845 124414928 130070152 155518660 162587690 178846459 260140304 311037320 325175380 357692918 622074640 650350760 715385836 894232295 1300701520 1430771672 1788464590 2861543344 3576929180 7153858360 14307716720